" (iii) "(x^(2)y+x^(2))dx+(xy^(2)-y^(2))dy=0

Find the general solution of each of the following differential equations: (x^(2)y-x^(2))dx+(xy^(2)-y^(2))dy =0

(x^(2)-x^(2)y)dy+(y^(2)+xy^(2))dx=0

y^(2)dx+(x^(2)+xy+y^(2))dy=0

x^(2)dy+(x^(2)-xy+y^(2))dx=0

The solution of the differential equation y(xy+2x^(2)y^(2))dx+x(xy-x^(2)y^(2))dy=0, is given by

Solution of the differential equation y(xy+2x^(2)y^(2))dx+x(xy-x^(2)y^(2))dy=0 is, (c is constant of integration)

(x^(2)-2xy-y^(2))dx-(x+y)^(2)dy=0

(y^(2)-xy)dx+x^(2)dy=0

y^(2)dx+(x^(2)-xy)dy=0